Explain what their first step would be if they wanted to eliminate the y variable from the equations.

The chi-square test was conducted to test the claim that the responses occur with the same frequency. The calculated chi-square value does not exceed the critical value at the 0.01 significance level, indicating that there is no significant difference in the frequencies of the responses.

In order to test the claim that the responses occur with the same frequency, a chi-square test is appropriate. The chi-square test compares the observed frequencies (the sample data) with the expected frequencies (assuming the responses occur with the same frequency) and determines if there is a significant difference.

The chi-square test involves calculating the chi-square statistic, which is a measure of the difference between the observed and expected frequencies. The formula for calculating the chi-square statistic involves taking the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies.

In this case, the observed frequencies are 16, 18, 16, 18, and 19 for responses A, B, C, D, and E, respectively. Since the claim is that the responses occur with the same frequency, the expected frequency for each response would be (16+18+16+18+19)/5 = 17.4.

After calculating the chi-square statistic using the formula, the obtained chi-square value is compared to the critical value at the chosen significance level (0.01 in this case). If the obtained chi-square value exceeds the critical value, then there is evidence to reject the claim that the responses occur with the same frequency. However, if the obtained chi-square value does not exceed the critical value, as is the case here, we fail to reject the claim and conclude that there is no significant difference in the frequencies of the responses.

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Answer:
0.20? sorry if im wrong

Step-by-step explanation:   4+3+2+5

Answer:

p(10) = 306

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

p(x) = 3(x² - 2) + 12

p(10) is x = 10 for function p(x)

Step 2: Evaluate

The length of the rectangular field is 120 ft if the width of a rectangular field is 20 feet less than its length and the area of the field is 12,000 ft².

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the length of the rectangular field is l and the width is w.

w = l - 20

The area of the rectangular field

lw = 12000

l(l - 20) = 12000

l² - 20l - 12000 = 0

After solving the quadratic equation, we get:

l =   120 or l = -100(length cannot be negative)

Thus, the length of the rectangular field is 120 ft if the width of a rectangular field is 20 feet less than its length and the area of the field is 12,000 ft².

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Answer:

C  120 Ft

Step-by-step explanation:

on edge

Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

( − 2 ) ( 3+ 2 2 − − 2 )

Hope this helps, have a great day!

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Answer:

the measure of this is

Step-by-step explanation:

cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese

Answer:

The vertical line test

Step-by-step explanation:

good luck have a good day!

The answer is (a) There is not enough information to compare John's and Peter's exam scores.

A z score and a T score are both measures of how a particular score compares to the mean in a distribution, but they are calculated using different formulas. A z score measures the number of standard deviations a score is from the mean, while a T score is a linear transformation of the raw score that is adjusted to have a mean of 50 and a standard deviation of 10.

Without additional information about the specific distribution of scores, the mean, and the standard deviation, we cannot determine the raw scores of John and Peter or compare their relative performance on the exam. The z score of 0.5 for John indicates that his score is half a standard deviation above the mean, but we don't know the actual raw score. Similarly, the T score of 60 for Peter indicates that his score is above the mean, but we don't have enough information to determine the raw score or make a direct comparison between the two.

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Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Answer:

Just multiply each by 5

Step-by-step explanation:

5x125= 625

explanation:

multiply the previous term by 5

Answer:

6p+3q

Step-by-step explanation:

1.5(4p+2q)

Distribute property

1.5(4p)+1.5(2q)

6p+1.5(2q)

6p+3q

pleasee need brainliest

Answer:

3 x (2p+q)

Step-by-step explanation:

STEP 1:

                3

Simplify   —

                 2

The equation at the end of step 1:

 3

 — • (4p + 2q)

 2

STEP 2:

Pulling out like terms

3.1     Pull out like factors :

  4p + 2q  =   2 • (2p + q)

Final result :

 3 • (2p + q)

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

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Answer:

o cone has more lateral faces than a triar

The symbol ∼ denotes similarity, that is, the triangles ABC and XYZ are similar. When two triangles are similar, they have the same shape but not necessarily the same size and their corresponding angles are the same. In turn, the corresponding sides of two corresponding triangles are in the same ratio. Graphically,

So to find x in the small triangle, you have

Finally, to find b in the large triangle, you have

Therefore, the lengths of the sides x and b are

The algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

It follows from the task content that the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content be determined.

On this note, since the number in discuss is given and represented by; x in the task content. Hence, the cube of the number is; x³.

The word phrase; 7 minus the cube of a number can therefore be represented as;

7 - x³.

Ultimately, the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

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(i) Large Table Required are 3 and Small Table required are 8

(ii) Price of Student Ticket is $5.5 and Adult Ticket is $7.5

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

(i)

Seats in Large Table = 12

Cost of Large Table = $50

Seats in Small Table = 8

Cost of Small Table = $25

Let, Number of Large Tables = x

Number of Small Tables = y

According to the Question:

12x + 8y = 100

50x + 25y = 350

x = 3, y = 8 (refer graph 1)

(ii)

Cost of Student Ticket = x

Cost of Adult Ticket  = y

According to the Question:

16x + 3y = 110.5

12x + 4y = 96

x = $5.5, y = $7.5 (refer graph 2)

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Answer:

I think it would be 132

Step-by-step explanation:

20% of 110=22 (22+110)=132

Answer:

7centimeters

Step-by-step explanation:

it just is lololololol

Answer:

7

Step-by-step explanation:

The total number of cups of plain yogurt they need to sell is 3023 cups. A profit goal is often expressed in monetary terms, such as dollars or euros, and may be based on factors such as a company's costs, revenue, and expenses.

Profit goal refers to the amount of profit that a company aims to achieve during a specific period of time, such as a month or a year. In other words, it is the target level of earnings that a company sets for itself. A company may set a profit goal to help guide its business decisions and to measure its performance over time.

To meet their profit goal of at least $3200, Tasty needs to earn at least 3200/12 cents = 267 cents per cup of vanilla yogurt. Since Tasty earns 12 cents per cup of vanilla yogurt, they need to sell 267/12 = 22.25 cups of vanilla yogurt. Since they can't sell a partial cup of yogurt, they need to sell at least 23 cups of vanilla yogurt.

Since Tasty expects to sell at least 12000 cups of plain yogurt, they need to sell at least 15000 - 12000 = 3000 cups of vanilla yogurt to meet their profit goal.

To meet their profit goal, Tasty needs to sell at least 23 cups of vanilla yogurt and at least 3000 cups of plain yogurt. The total number of cups of plain yogurt they need to sell is

3000 + 23 = 3023 cups.

The complete question is shown below.

Tasty yogurt manufacturing co. makes 10 cents per container of plain yogurt that it sells and 12 cents per container of vanilla yogurt they want to make a monthly profit of at least 3200 this month, tasty expects to sell at least 12000 of plain yogurt but no more than 15000 cups of vanilla yogurt ::::::: if tasty sold exactly 15000 cups of vanilla yogurt how many cups of pain yogurt will the company need to sell to meet their profit goal of at least 32000?

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The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

40

Step-by-step explanation:

The mass of the solid is 7π/2 units.

The task is to calculate the mass of the solid.

Step-by-step solution: The solid occupies the region between the unit sphere at the origin and a sphere of radius 2 with the center at the origin. The spherical coordinates in 3D space are (r,θ,φ), where:r = radius, θ = polar angle, φ = azimuthal angle.

The equations of the given sphere are r=1 for the unit sphere and r=2 for the second sphere.

Using spherical coordinates, the solid can be defined as 1≤r≤2, 0≤θ≤2π, 0≤φ≤π.

The density is equal to the distance from the origin, i.e. ρ = r.

The mass of the solid is given by the triple integral ρ dV taken over the solid, where dV is the volume element in spherical coordinates.dV = r²sin φ dφdθdr

The limits for the triple integral are: 0 ≤ θ ≤ 2π, 0 ≤ φ ≤ π, and 1 ≤ r ≤ 2.M = ∭ρ dV = ∭r(r²sin φ) dφdθdr= ∫[0,2π]∫[0,π]∫[1,2] r³sin φ drdφdθ= ∫[0,2π]∫[0,π] -cos φ [r⁴/4]₁ ₂ drdφdθ= ∫[0,2π]∫[0,π] 7/4 cos φ dφdθ= ∫[0,2π] 7sin φ/4 ]₀  π dθ= 14π/4= 7π/2 units.

The mass of the solid is 7π/2 units.

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Answer:

no, because for each input, there is not exactly one output.

Step-by-step explanation:

the relation is not a function because the input 0 has multiple outputs (1-to-many means that the relation is not a function).

Therefore, the area of the region bounded by the curve \(y = f(x) = x^3 - 4x + 1\) and the tangent line y = -x + 3 at (-1,4) is -3/4 square units.

To find the area of the region bounded by the curve \(y = f(x) = x^3 - 4x + 1\) and the tangent line to the curve at (-1,4), we need to determine the points of intersection between the curve and the tangent line.

First, let's find the equation of the tangent line. The tangent line at (-1,4) has the same slope as the derivative of f(x) at x = -1. Let's find this derivative:  \(f'(x) = 3x^2 - 4\).

Evaluating the derivative at x = -1:  

\(f'(-1) = 3(-1)^2 - 4 = 3 - 4 = -1.\).

Therefore, the slope of the tangent line is -1.

Using the point-slope form of a line, the equation of the tangent line is:   y - 4 = -1(x + 1).

Simplifying, we get: y = -x + 3.

Next, we find the points of intersection by setting the curve equation and the tangent line equation equal to each other: \(x^3 - 4x + 1 = -x + 3\).

Rearranging and simplifying, we get:\(x^3 - 3x + 2 = 0\).

Factoring the equation, we find that x = -1 is a root: \((x + 1)(x^2 - x + 2) = 0\)

The quadratic term \(x^2 - x + 2\) has no real roots, so the only intersection point is (-1, 4).

Now, we can find the area of the region bounded by the curve and the tangent line by calculating the definite integral of the positive difference between the curve and the line over the interval from x = -1 to x = 0:

Area = ∫[-1,0] [f(x) - (-x + 3)] dx.

Let's find this integral:

Area = ∫[-1,0] (\(x^3 - 4x + 1 + x - 3\)) dx = ∫[-1,0] (\(x^3 - 3x - 2\)) dx.

Integrating term by term:

\(Area = [\frac{1}{4} x^4 - \frac{3}{2} x^2 - 2x] |[-1,0]\)

\(= [\frac{1}{4} (0)^4 - \frac{3}{2} (0)^2 - 2(0)] - [\frac{1}{4} (-1)^4 - \frac{3}{2} (-1)^2 - 2(-1)]\)

\(= 0 - [\frac{-1}{4} - \frac{3}{2} + 2]\)

\(= -\frac{1}{4} + \frac{3}{2} - 2\)

\(= -\frac{1}{4} + \frac{6}{4} - \frac{8}{4}\)

\(= -\frac{3}{4}\)

Therefore, the area of the region bounded by the curve \(y = f(x) = x^3 - 4x + 1\) and the tangent line y = -x + 3 at (-1,4) is -3/4 square units.

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The total amount of money molly will pay for the skirt after the total discount is $14.5

Original price of the skirt = $29

Percentage discount = 30%

Additional percentage discount = 20%

Total percentage discount = 30% + 20%

= 50%

Total amount molly paid for the skirt not counting the sales tax = $29 - (50% of $29)

= 29 - (0.50 × 29)

= 29 - 14.5

= $14.5

Hence, Molly will pay a total of $14.5 after deducting the discount.

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